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Which graph matches the inequality 14x - 2| < 8x?0-10-8-6-46810-4--10-8-6068 10-10-8-6248 10None of these choices are correct

Which graph matches the inequality 14x - 2| < 8x?0-10-8-6-46810-4--10-8-6068 10-10-8-6248 10None-example-1

1 Answer

6 votes

Write the given expression as


-4x+2<8x<4x-2

On simplifying,


\begin{gathered} -4x-8x+2<0<4x-8x-2 \\ -12x+2<0<-4x-2 \end{gathered}

On futher solving this,


\begin{gathered} -12x<-2 \\ x<2 \end{gathered}

Also,


\begin{gathered} -4x-2>0 \\ -4x>2 \\ x>-(1)/(2) \end{gathered}

Hence the graph is 1)

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